Foundation of Digital Design Sample Questions Question 1 a)Convert the number 10011100001110112 to i.Hexadecimal ii.Octal iii.Decimal b)Convert the number 63110 to i.Hexadecimal ii.Binary iii.Octal c)Write the canonical sum of products and canonical product of sums for each of following logical function F respectively. i.F(W,X,Y,Z) = ∑m(5,7,13,15) ii.F(P,Q,R) = ∏ M(2,4,9,14) d)Simplify the following switching algebra expressions. i.F = WXY Z(WXYZ’+WX’Y Z +W’XY Z +WXY’Z) to no term ii.F = ((A + B) + (A’+ B’)’)’to one term with two literals iii.F = A’B(D0’+ C’D) + B(A + A’CD) to one literal iv.F = (X’+ Y )Z’(ZY’+ Z) to no literals Question 2 An engine has 4 fail-safe sensors (A, B, C and D). The engine should keep running, unless any of the following conditions arise: If sensor B is activated, If sensors A and C are activated at the same time, If sensors B and C are deactivated at the same time, If sensors A, C and D are activated at the same time, i.Derive a Switching Algebra equation for this system, where the output is called X. ii.Minimize the equation obtained in part i), using theorems of Switching Algebra. Your answer must indicate any theorems used for each minimization step.
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Question 3 a) Describe all the steps you need to follow when designing a sequential logic circuit starts with a set of system specifications. b)Consider the sequential circuit in Figure 1 and answer the following questions: Figure 1 i.What type of finite state machine is represented in Figure 1? Explain.
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